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Finding the Third Proportional to 265,981 and 398,029

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Solution

The third proportional to 265,981 and 398,029 is: 595,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981 : 398,029 = 398,029 : x
  2. Step 2: Convert to fraction form
    265,981/398,029 = 398,029/x
  3. Step 3: Cross multiply
    265,981x = 398,029 × 398,029
  4. Step 4: Simplify right side
    265,981x = 158,427,084,841
  5. Step 5: Solve for x
    x = 158,427,084,841/265,981
  6. Step 6: Final answer
    x = 595,633.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.